Search a number
-
+
316794240 = 27365797
BaseRepresentation
bin10010111000011…
…110010110000000
3211002002211000000
4102320132112000
51122044403430
651234000000
710564464240
oct2270362600
9732084000
10316794240
11152905224
128a116000
135082b019
1430105b20
151cc29e60
hex12e1e580

316794240 has 448 divisors, whose sum is σ = 1311075360. Its totient is φ = 71663616.

The previous prime is 316794229. The next prime is 316794271. The reversal of 316794240 is 42497613.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 316794195 and 316794204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3265872 + ... + 3265968.

Almost surely, 2316794240 is an apocalyptic number.

316794240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655537680).

316794240 is an abundant number, since it is smaller than the sum of its proper divisors (994281120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

316794240 is an frugal number, since it uses more digits than its factorization.

316794240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 316794240 is about 17798.7145603271. The cubic root of 316794240 is about 681.6986367865.

The spelling of 316794240 in words is "three hundred sixteen million, seven hundred ninety-four thousand, two hundred forty".